-2(.5r-5)=1.25+.25r

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Solution for -2(.5r-5)=1.25+.25r equation: 


Simplifying
-2(0.5r + -5) = 1.25 + 0.25r

Reorder the terms:
-2(-5 + 0.5r) = 1.25 + 0.25r
(-5 * -2 + 0.5r * -2) = 1.25 + 0.25r
(10 + -1r) = 1.25 + 0.25r

Solving
10 + -1r = 1.25 + 0.25r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-0.25r' to each side of the equation.
10 + -1r + -0.25r = 1.25 + 0.25r + -0.25r

Combine like terms: -1r + -0.25r = -1.25r
10 + -1.25r = 1.25 + 0.25r + -0.25r

Combine like terms: 0.25r + -0.25r = 0.00
10 + -1.25r = 1.25 + 0.00
10 + -1.25r = 1.25

Add '-10' to each side of the equation.
10 + -10 + -1.25r = 1.25 + -10

Combine like terms: 10 + -10 = 0
0 + -1.25r = 1.25 + -10
-1.25r = 1.25 + -10

Combine like terms: 1.25 + -10 = -8.75
-1.25r = -8.75

Divide each side by '-1.25'.
r = 7

Simplifying
r = 7

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